[DB089] Flower Bed Fun

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088 - The Frog's Path

089 - Flower Bed Fun

090 - The Unusual Fountain

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Flower Bed Fun
Game	Professor Layton and the Diabolical Box
Number	089
Type	Write Answer
Location	Clock Tower Plaza
Given by	Derby
Solved by	Professor Layton
Picarats	40
Mandatory	No
Reward	Ingredient (Peppercherry)
In other languages
日本語	花壇の面積 kadan no menseki
Deutsch	Blumenbeete
Español	Jardín florido
Français	Flower power
Italiano	Le aiuole
한국의	화단의 면적

Flower Bed Fun is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

Here are four circular flower beds, each with a radius of 10 feet. The way they're arranged forms a space between them. Can you find the area in square feet of the section colored red below?

Ignore the width of the border around the flower beds when calculating your answer.

UK Version

Here are four circular flower beds, each with a radius of 10 metres. The way they're arranged forms a space between them. Can you find the area, in metres squared, of the section coloured red below?

Ignore the width of the border around the flower beds when calculating your answer.

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

Don't bother thinking about Pi. You don't need it to solve this one!

US Version

If you draw straight lines between the four center points of each of the flower beds, it makes a square!

UK Version

If you draw straight lines between the four centre points of each of the flower beds, it makes a square!

US Version

From the points where two flower beds touch, draw two diagonal lines that cut through the center of the diagram and end where two other flower beds touch.

These two lines should divide that middle space between all four flower beds into four neat sections. What can you learn from those four sections?

UK Version

Draw a set of diagonal lines that go from each point where two flower beds touch, through the centre of the diagram (the point at the exact centre between all four flower beds). This should divide that middle space between all four flower beds into four neat sections. What can you learn from those four sections?

Solution

Incorrect

Too bad!

US Version

You shouldn't need to do any fancy math to solve this one.

UK Version

You shouldn't need to do any complex maths to solve this one.

Correct

Nice job!

US Version

The red section has an area of 400 square feet. If you quarter the space between the flower beds and fit the pieces to the circle as shown on the diagram on the right, you can turn the circle into a square. Once you do, the sides of the square will have the same length as the diameter of a single flower bed: 20 feet. Square this number to get the area and your answer.

UK Version

The red section has an area of 400 square metres. If you quarter the space between the flower beds and fit the pieces to the circle as shown on the diagram on the right, you can turn the circle into a square. Once you do, the sides of the square will have the same length as the diameter of a single flower bed: 20 metres. Square this number to get the area and your answer.